Analytic form of the effective potential in the large N limit of a real scalar theory in four dimensions

2013/02/25 by Hidenori Sonoda, Sonoda, Hidenori
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Experimental and Theoretical Physics Studies #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)

paper · pdf · doi:10.48550/arxiv.1302.6059

openalex publication_date 2013/02/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We give the large N limit of the effective potential for the O(N) linear sigma model in four dimensions in terms of the Lambert W function. The effective potential is fully consistent with the renormalization group, and it admits an asymptotic expansion in powers of a small positive coupling parameter. Careful consideration of the UV cutoff present in the model validates the physics of the large N limit.

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